Noncommutative geometry and Painlev\'e equations
Algebraic Geometry
2016-01-20 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct the elliptic Painlev\'e equation and its higher dimensional analogs as the action of line bundles on 1-dimensional sheaves on noncommutative surfaces.
Cite
@article{arxiv.1404.5938,
title = {Noncommutative geometry and Painlev\'e equations},
author = {Andrei Okounkov and Eric Rains},
journal= {arXiv preprint arXiv:1404.5938},
year = {2016}
}